SEAMO 2027 - Paper E - SET 10 - Self-study Question 16

A jury of 12 people decides whether a defendant is guilty; an absolute majority is needed. Four will vote YES and three NO. Four others each toss a fair coin and vote according to the result. The last person votes with the majority. What is the probability of a guilty verdict?

Use independent fair coin tosses. The last juror follows the majority of the other eleven jurors.